Evolution of convex lens-shaped networks under curve shortening flow

Details Evolution of convex lens-shaped networks under curve shortening flow Evolution of convex lens-shaped networks under curve shortening flow

2007-11-07

arxiv.org/abs/0711.1108v1

Mathematics

Differential Geometry

29 pages, 5 figures

Scientific paper

We consider convex symmetric lens-shaped networks in R^2 that evolve under curve shortening flow. We show that the enclosed convex domain shrinks to a point in finite time. Furthermore, after appropriate rescaling the evolving networks converge to a self-similarly shrinking network, which we prove to be unique in an appropriate class. We also include a classification result for some self-similarly shrinking networks.

Affiliated with

Also associated with

No associations

Rating

Evolution of convex lens-shaped networks under curve shortening flow does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Evolution of convex lens-shaped networks under curve shortening flow, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Evolution of convex lens-shaped networks under curve shortening flow will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-502667